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9. [-/14 Points] DETAILS ILLOWSKYINTROSTATT 10.HW.078. The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of two English courses with a standard deviation of 0.9. The females took an average of three English courses with a standard deviation of 1.1. Are the means statistically the same? (Use a = 0.05) NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) Part (b) Part (c) Part (d) + Part (e) Part (f) Part (g) Part (h) Part (i) Explain how you determined which distribution to use. The t-distribution will be used because the samples are independent and the population standard deviation is not known. O The standard normal distribution will be used because the samples involve the difference in proportions. O The standard normal distribution will be used because the samples are independent and the population standard deviation is known. The t-distribution will be used because the samples are dependent